Strong lensing and shadow of Ayon-Beato-Garcia (ABG) nonsingular black hole

TL;DR

This paper investigates the strong gravitational lensing and shadow of the nonsingular Ayon-Beato-Garcia black hole, revealing effects of nonlinear electrodynamics on photon trajectories and ruling out Sgr A* as such a black hole.

Contribution

It provides a comprehensive analysis of gravitational lensing and shadow properties of ABG nonsingular black holes considering nonlinear electrodynamics effects.

Findings

Photon sphere radius increases due to NLED effects

Shadow radius of ABG black hole incompatible with Sgr A* observations

Magnification decreases with NLED modifications

Abstract

We study nonsingular black holes viewed from the point of view of Ayon-Beato-Garcia (ABG) nonlinear electrodynamics (NLED) and present a complete study of their corresponding strong gravitational lensing. The NLED modifies the the photon's geodesic, and our calculations show that such effect increases the corresponding photon sphere radius and image separation, but decreases the magnification. We also show that the ABG's shadow radius is not compatible with bound estimates of Sgr A* from Keck and VLTI (Very Large Telescope Interferometer). Thus, the possibility of Sgr A* being a nonsingular ABG black hole is ruled out.